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JEE Math Practice Question

Consider the two statements : (S1) : (p $$\to$$ q) $$ \vee $$ ($$ \sim $$ q $$\to$$ p) is a tautology . (S2) : (p $$ \wedge $$ $$ \sim $$ q) $$ \wedge $$ ($$\sim$$ p $$\wedge$$ q) is a fallacy. Then :

  1. A.only (S1) is true.
  2. B.both (S1) and (S2) are false.
  3. C.both (S1) and (S2) are true.
  4. D.only (S2) is true.

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